Dissertation
Dissertation > Industrial Technology > Automation technology,computer technology > Automated basic theory > Automatic control theory

Stability and Passive Control of Singular Systems

Author WeiJuMei
Tutor BoChunXia
School Zhengzhou University
Course Operational Research and Cybernetics
Keywords Generalized system Delay systems Bilinear systems Passive Control Robust Stability Quadratic stability Asymptotically stable Lyapunov equations State feedback Matrix inequalities
CLC TP13
Type Master's thesis
Year 2009
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Generalized system has wide application background , a better description of the actual system , three decades to attract the attention of a large number of experts and scholars , some valuable conclusions , is becoming a hot topic of modern control theory . Dissipative theory plays an important role in the stability of the system research , without endogenous dissipation is an important aspect , is the stability of a higher level of abstraction . In this paper, the uncertainty in the system parameters and discuss the problem of the uncertain generalized system stability and passive control . Bilinear systems of nonlinear system , consider a passive control for generalized delay systems . The main contents are as follows : the first for generalized linear delay systems , discusses the uncertain linear generalized systems with time-varying delay passive control problem , research varying delay descriptor systems with uncertain parameters when containing not determine the parameters of the time-varying delay singular system with passive resistance , and to ensure that the system is passive state feedback controller . Secondly , the study of discrete Uncertain Descriptor Systems Robust passive control problem using generalized Lyapunov function and strict matrix inequalities , given uncertain discrete singular system of generalized quadratic stability and sufficient condition for strictly passive for a final study bilinear generalized delay systems passive control problem using linear matrix inequalities and generalized Ricatti inequality get a bilinear generalized delay system is asymptotically stable and strictly passive sufficient condition , and based on this condition design state feedback controller such that the closed-loop system is asymptotically stable and strictly passive .

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